List of publications

Preprints

19.) (with Jozef Bobok, Serge Troubetzkoy, Piotr Oprocha), Conundrums for continuous Lebesgue measure-preserving interval maps, arXiv:2405.09917, May  2024.

18.) (with Jozef Bobok, Serge Troubetzkoy, Piotr Oprocha) Interval maps with dense periodicity, arXiv:2402.05638, February 2024.

17.) (with Jan P. Boroński, Piotr Oprocha) Beyond 0 and infinity: a solution to the Barge entropy conjecture, arXiv:2105.11133, May 2021. (Appendix written by George Kozlowski)

Published and accepted papers

16.) On zero entropy homeomorphisms of the pseudo-arc , to appear in Qualitative theory of Dynamical Systems, May  2024. 

15.) (with Piotr Oprocha) Parameterized family of annular homeomorphisms with pseudo-circle attractors, Journal of Differential Equations 407 (2024), 102-132.

14.) (with Jozef Bobok, Serge Troubetzkoy, Piotr Oprocha) Are generic dynamical properties stable under composition with rotations?, Proc. Amer. Math. Soc., 152 (2024), 3011-3026. 

13.) (with Serge Troubetzkoy) An upper bound on topological entropy of the Bunimovich stadium billiard map, Journal of Statistical Physics 190 (2023), no. 8, Paper No. 148, 15 pp.

12.) (with Jozef Bobok, Serge Troubetzkoy, Piotr Oprocha) Periodic points and shadowing property for generic Lebesgue measure preserving interval maps, Nonlinearity 35 (2022) 2535–2558.

11.) (with Piotr Oprocha) Pseudo-arc as the attractor in the disc - topological and measure-theoretic aspects, Proceedings of the London Mathematical Society 125, (2022), 318-357.

10.) (with Jozef Bobok, Serge Troubetzkoy, Piotr Oprocha) S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps},  Ergodic Theory and Dynamical Systems 43, (2023), 78-98.

9.) (with Ana Anušić,) Inhomogeneities in chainable continua, Fundamenta Mathematicae 254, (2021). (Appendix A written by Henk Bruin.)

8.) (with Jan P. Boroński, Magdalena Foryś-Krawiec) On minimal rigid spaces, Journal of Dynamics and Differential Equations, 33 (2), (2021), 1023-1034.

7.) (with Jan P. Boroński, Xiao-Chuan Liu) Prime end dynamics of parametrised families of rotational attractors, Journal of The London Mathematical Society, 102 (2), (2020), 557-579.

6.) (with Ana Anušić, Henk Bruin) Topological properties of Lorenz maps derived from unimodal maps, Journal of Difference Equations and Applications (Special Issue on the ocassion of 82nd birthday of Oleksandr M. Sharkovsky), 26 (8), (2020), 1174-1191.

5.) (with Lori Alvin, Ana Anušić, Henk Bruin) Folding points of unimodal inverse limit spaces, Nonlinearity 33 (2020) 224–248.

4.) (with Ana Anušić, Henk Bruin) Planar embeddings of chainable continua, Topology Proceedings 56 (2020), 263-296.

3.) (with Ana Anušić) Accessible points of planar embeddings of tent inverse limit spaces, Dissertationes Mathematicae 541, 57 pp, 2019.

2.) (with Ana Anušić, Henk Bruin) The Core Ingram Conjecture for non-recurrent critical points, Fundamenta Mathematicae 241 (2018), 209-235.

1.) (with Ana Anušić, Henk Bruin) Uncountably many planar embeddings of unimodal inverse limit spaces, Discrete Continuous Dynamical Systems - Series A, 37 (2017), 2285-2300.

Surveys and conference proceedings

2.) (with Jozef Bobok, Serge Troubetzkoy, Piotr Oprocha) Continuous Lebesgue measure-preserving maps on one-dimensional manifolds: a survey, arXiv:2303.17873, March  2023, to appear in Topology and its Applications.

1.)  (with Ana Anušić, Henk Bruin) Problems on planar embeddings of chainable continua and accessibility, In: Problems in Continuum Theory in Memory of Sam B. Nadler, Jr., Ed. Logan Hoehn, Piotr Minc, Murat Tuncali,  Topology Proceedings 52 (2018), 283--285.

Theses

2.) Accessible points of some planar continua, PhD Thesis, University of Vienna,  2018. 

1.) Polhomogeni kontinuumi, Master Thesis, University of Maribor, 2013 (received Perlach award).